{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "\n",
    "with open(\"data.txt\", \"r\") as f:\n",
    "    data = [float(line.strip()) for line in f]\n",
    "\n",
    "even_data = []\n",
    "odd_data = []\n",
    "for i in range(0, len(data), 2):\n",
    "    \n",
    "    even_data.append(data[i])\n",
    "    odd_data.append(data[i+1])\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "plt.plot(even_data, odd_data)\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.12"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
